Answer:
∠ 1 = 110° , ∠ 2 = 70°
Explanation:
∠ 1 and ∠ 2 lie on a straight line and sum to 180° , that is
6x + 20 + 4x + 10 = 180
10x + 30 = 180 ( subtract 30 from both sides )
10x = 150 ( divide both sides by 10 )
x = 15
Then
∠ 1 = 6x + 20 = 6(15) + 20 = 90 + 20 = 110°
∠ 2 = 4x + 10 = 4(15) + 10 = 60 + 10 = 70°